摘要翻译:
本文将Schwartz函数、回火函数和广义Schwartz函数的概念推广到Nash(即光滑半代数)流形。对于这种情况,我们重新证明了Schwartz函数在$r^n$上的经典已知性质,并建立了一些在表示论中很重要的附加工具。
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英文标题:
《Schwartz functions on Nash manifolds》
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作者:
Avraham Aizenbud and Dmitry Gourevitch
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Representation Theory 表象理论
分类描述:Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra
代数和群的线性表示,李理论,结合代数,多重线性代数
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英文摘要:
In this paper we extend the notions of Schwartz functions, tempered functions and generalized Schwartz functions to Nash (i.e. smooth semi-algebraic) manifolds. We reprove for this case classically known properties of Schwartz functions on $R^n$ and build some additional tools which are important in representation theory.
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PDF链接:
https://arxiv.org/pdf/0704.2891